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PreTeXt Sample Book Abstract Algebra (SAMPLE ONLY)

Exercises 3.30 Timed Chapter Exam

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<exercises xml:id="chapter-exam" label="chapter-exam" time-limit="15" pause="yes">
  <title>Timed Chapter Exam</title>
  <introduction>
    <p>
      This is an <tag>exercises</tag> division,
      as a peer of the <tag>section</tag> in this <tag>chapter</tag> of a <tag>book</tag>.
      It is also setup as a Runestone timed exam.
      So it is an example of how you might have a per-chapter exam.
      This contrasts with an earlier timed exam which is constructed as a per-section exam
      (<xref ref="timing-exercises"/>).
      The exercises are the same here, but in a different order.
      As a test, this exam is
      <q>pauseable</q>
      and has a 15 minute time limit.
    </p>
  </introduction>
  <exercise label="multiple-choice-not-randomized-timed-two">
    <title>Multiple-Choice, Not Randomized, One Answer</title>
    <idx>stop signs</idx>
    <statement>
      <p>
        What color is a stop sign?
      </p>
    </statement>
    <choices>
    <choice>
    <statement>
      <p>
        Green
      </p>
    </statement>
    <feedback>
      <p>
        Green means
        <q>go!</q>.
      </p>
    </feedback>
    </choice>
    <choice correct="yes">
    <statement>
      <p>
        Red
      </p>
    </statement>
    <feedback>
      <p>
        Red is universally used for prohibited activities or serious warnings.
      </p>
    </feedback>
    </choice>
    <choice>
    <statement>
      <p>
        White
      </p>
    </statement>
    <feedback>
      <p>
        White might be hard to see.
      </p>
    </feedback>
    </choice>
    </choices>
    <hint>
      <p>
        What did you see last time you went driving?
      </p>
    </hint>
    <hint>
      <p>
        Maybe go out for a drive?
      </p>
    </hint>
  </exercise>
  <exercise label="vector-space-dimension-timed-two">
    <title>True/False</title>
    <idx>vector space</idx>
    <statement correct="no">
      <p>
        Every vector space has finite dimension.
      </p>
    </statement>
    <feedback>
      <p>
        The vector space of all polynomials with finite degree has a basis,
        <m>B = \{1,x,x^2,x^3,\dots\}</m>, which is infinte.
      </p>
    </feedback>
    <hint>
      <p>
        <m>P_n</m>, the vector space of polynomials with degree at most <m>n</m>,
        has dimension <m>n+1</m> by <xref ref="theorem-exponent-laws"/>. [Cross-reference is just a demo,
        content is not relevant.] What happens if we relax the defintion and remove the parameter <m>n</m>?
      </p>
    </hint>
  </exercise>
</exercises>